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Finding the Fourth Proportional to 23,505.77, 32,438.49 and 12,895.40

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Solution

The fourth proportional to 23,505.77, 32,438.49 and 12,895.40 is: 17,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.77 : 32,438.49 = 12,895.40 : x
  2. Step 2: Convert to fraction form
    23,505.77/32,438.49 = 12,895.40/x
  3. Step 3: Cross multiply
    23,505.77x = 32,438.49 × 12,895.40
  4. Step 4: Simplify right side
    23,505.77x = 418,307,303.95
  5. Step 5: Solve for x
    x = 418,307,303.95/23,505.77
  6. Step 6: Final answer
    x = 17,795.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.